eCommons

 

Quantified Constraint Satisfaction and Small Commutative Conservative Operations

Other Titles

Author(s)

Abstract

The constraint satisfaction problem (CSP) is a broad framework capturing many combinatorial search problems. A natural and strict generalization of the CSP is the quantified constraint satisfaction problem (QCSP). The CSP involves deciding the truth of constraint networks where all variables are existentially quantified; the QCSP is defined similarly, but variables may be both existentially and universally quantified. While the CSP and QCSP are in their general formulation intractable, they can be parameterized by restricting the constraint language, that is, the types of constraints that are permitted in problem instances. Much attention has been directed towards classifying the complexity of all constraint languages in the case of the CSP. In this paper, we continue the recently initiated study of QCSP complexity by identifying a new family of tractable constraint languages, namely, constraint languages over domains of small size that are closed under a commutative conservative operation. This gives the first QCSP tractability result based on binary operations which may be non-associative. We also give a complete classification of maximal constraint languages over domains of size three.

Journal / Series

Volume & Issue

Description

Sponsorship

Date Issued

2003-07-22

Publisher

Cornell University

Keywords

computer science; technical report

Location

Effective Date

Expiration Date

Sector

Employer

Union

Union Local

NAICS

Number of Workers

Committee Chair

Committee Co-Chair

Committee Member

Degree Discipline

Degree Name

Degree Level

Related Version

Related DOI

Related To

Related Part

Based on Related Item

Has Other Format(s)

Part of Related Item

Related To

Related Publication(s)

Link(s) to Related Publication(s)

References

Link(s) to Reference(s)

Previously Published As

http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.cis/TR2003-1902

Government Document

ISBN

ISMN

ISSN

Other Identifiers

Rights

Rights URI

Types

technical report

Accessibility Feature

Accessibility Hazard

Accessibility Summary

Link(s) to Catalog Record